二阶广义拉盖尔函数逼近及其在四阶微分方程中的应用

2011 Fourth International Joint Conference on Computational Sciences and Optimization Pub Date : 2011-04-15 DOI:10.1109/CSO.2011.234

Xiao-yong Zhang, Jiang Hua Sui

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引用次数: 0

摘要

本文研究二阶广义Laguerre近似。建立了各种正交投影。作为其重要应用的一个例子，我们给出了无界域上一些四阶微分方程的谱格式。证明了它们的收敛性。数值结果表明，该方法具有较高的精度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Second Order Generalized Laguerre Function Approximation and Its Applications to Fourth-Order Differential Equations

In this paper, we investigate second-order generalized Laguerre approximation. Various orthogonal projections are established. As an example of their important applications, we propose the spectral scheme for some fourth order differential equations on unbounded domain. their convergence are proved. Numerical results demonstrate the high accuracy of this new spectral method.

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2011 Fourth International Joint Conference on Computational Sciences and Optimization

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